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Two ovals are similar.

The smaller oval has a diameter of 7.5 and the larger oval has a diameter of 22.5.

The smaller oval has an area of 11.7cm2

Calculate the area of the larger oval

 Oct 27, 2016
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By "oval," I'm assuming that you might mean "ellipse"

 

The area of an ellipse is given by  pi* a * b    where a and b are the lengths of the semi-major and semi-minor axis

 

Since the ovals are similar in all respects and the diameter of the larger one to the diameter of the smaller one is 22.5/7.5  = 3 / 1  ....then the dimensions of the larger are 3 times as much as the smaller

 

Then....the area will be 9 times as great because the lengths of both the semi-major and semi-minor axis will be 3 times as great....so the area of the larger =  9 * 11.7  = 105.3 cm^2

 

 

 

cool cool cool

 Oct 27, 2016

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